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Finding the Third Proportional to 2,509,218 and 5,342,112

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Solution

The third proportional to 2,509,218 and 5,342,112 is: 11,373,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509,218 : 5,342,112 = 5,342,112 : x
  2. Step 2: Convert to fraction form
    2,509,218/5,342,112 = 5,342,112/x
  3. Step 3: Cross multiply
    2,509,218x = 5,342,112 × 5,342,112
  4. Step 4: Simplify right side
    2,509,218x = 28,538,160,620,544
  5. Step 5: Solve for x
    x = 28,538,160,620,544/2,509,218
  6. Step 6: Final answer
    x = 11,373,328.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.